10056671849280 has 448 divisors, whose sum is σ = 37101144748032. Its totient is φ = 2260376616960.

The previous prime is 10056671849179. The next prime is 10056671849281. The reversal of 10056671849280 is 8294817665001.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×10056671849280² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10056671849280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10056671849281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 259769125 + ... + 259807835.

Almost surely, 2^{10056671849280} is an apocalyptic number.

10056671849280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10056671849280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18550572374016).

10056671849280 is an abundant number, since it is smaller than the sum of its proper divisors (27044472898752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10056671849280 is a wasteful number, since it uses less digits than its factorization.

10056671849280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39382 (or 39372 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 10056671849280 in words is "ten trillion, fifty-six billion, six hundred seventy-one million, eight hundred forty-nine thousand, two hundred eighty".